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Finding the Third Proportional to 7,947 and 11,614.50

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Solution

The third proportional to 7,947 and 11,614.50 is: 16,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947 : 11,614.50 = 11,614.50 : x
  2. Step 2: Convert to fraction form
    7,947/11,614.50 = 11,614.50/x
  3. Step 3: Cross multiply
    7,947x = 11,614.50 × 11,614.50
  4. Step 4: Simplify right side
    7,947x = 134,896,610.25
  5. Step 5: Solve for x
    x = 134,896,610.25/7,947
  6. Step 6: Final answer
    x = 16,974.53

Related Problems

Find third proportional to 3,973.50 and 5,807.25
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.